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Uncertainty Quantification in Control Problems for Flocking Models

Author

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  • Giacomo Albi
  • Lorenzo Pareschi
  • Mattia Zanella

Abstract

The optimal control of flocking models with random inputs is investigated from a numerical point of view. The effect of uncertainty in the interaction parameters is studied for a Cucker-Smale type model using a generalized polynomial chaos (gPC) approach. Numerical evidence of threshold effects in the alignment dynamic due to the random parameters is given. The use of a selective model predictive control permits steering of the system towards the desired state even in unstable regimes.

Suggested Citation

  • Giacomo Albi & Lorenzo Pareschi & Mattia Zanella, 2015. "Uncertainty Quantification in Control Problems for Flocking Models," Mathematical Problems in Engineering, Hindawi, vol. 2015, pages 1-14, June.
    • Handle: RePEc:hin:jnlmpe:850124
    DOI: 10.1155/2015/850124
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    Cited by:

    1. Herty, Michael & Steffensen, Sonja & Thünen, Anna, 2022. "Multiscale control of Stackelberg games," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 200(C), pages 468-488.

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